What is the Greatest Common Factor of 78729 and 78741?

Greatest common factor (GCF) of 78729 and 78741 is 3.

GCF(78729,78741) = 3

We will now calculate the prime factors of 78729 and 78741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78729 and 78741.

How to find the GCF of 78729 and 78741?

We will first find the prime factorization of 78729 and 78741. After we will calculate the factors of 78729 and 78741 and find the biggest common factor number .

Step-1: Prime Factorization of 78729

Prime factors of 78729 are 3, 7, 23, 163. Prime factorization of 78729 in exponential form is:

78729 = 3¹ × 7¹ × 23¹ × 163¹

Step-2: Prime Factorization of 78741

Prime factors of 78741 are 3, 13, 673. Prime factorization of 78741 in exponential form is:

78741 = 3² × 13¹ × 673¹

Step-3: Factors of 78729

List of positive integer factors of 78729 that divides 78729 without a remainder.

1, 3, 7, 21, 23, 69, 161, 163, 483, 489, 1141, 3423, 3749, 11247, 26243

Step-4: Factors of 78741

List of positive integer factors of 78741 that divides 78729 without a remainder.

1, 3, 9, 13, 39, 117, 673, 2019, 6057, 8749, 26247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78729 and 78741. The biggest common factor number is the GCF number.
So the greatest common factor 78729 and 78741 is 3.

Also check out the Least Common Multiple of 78729 and 78741